Таблица логарифмов может использоваться при расчетах, когда необходимо знать значения логарифмов некоторых величин, но их нельзя вычислить точно. Для этого было составлено ряд таблиц для упрощения вычислений. В данной статье представлена логарифмическая таблица в диапазоне от log22 до log11100.
В статье:
- Таблица логарифмов в диапазоне log22 — log4100
- Таблица логарифмов в диапазоне log52 — log7100
- Таблица логарифмов в диапазоне log82 — log10100
Таблица логарифмов в диапазоне log22 — log4100
| log22 = 1.0000 | log32 = 0.6309 | log42 = 0.5000 |
| log23 = 1.5850 | log33 = 1.0000 | log43 = 0.7925 |
| log24 = 2.0000 | log34 = 1.2619 | log44 = 1.0000 |
| log25 = 2.3219 | log35 = 1.4650 | log45 = 1.1610 |
| log26 = 2.5850 | log36 = 1.6309 | log46 = 1.2925 |
| log27 = 2.8074 | log37 = 1.7712 | log47 = 1.4037 |
| log28 = 3.0000 | log38 = 1.8928 | log48 = 1.5000 |
| log29 = 3.1699 | log39 = 2.0000 | log49 = 1.5850 |
| log210 = 3.3219 | log310 = 2.0959 | log410 = 1.6610 |
| log211 = 3.4594 | log311 = 2.1827 | log411 = 1.7297 |
| log212 = 3.5850 | log312 = 2.2619 | log412 = 1.7925 |
| log213 = 3.7004 | log313 = 2.3347 | log413 = 1.8502 |
| log214 = 3.8074 | log314 = 2.4022 | log414 = 1.9037 |
| log215 = 3.9069 | log315 = 2.4650 | log415 = 1.9534 |
| log216 = 4.0000 | log316 = 2.5237 | log416 = 2.0000 |
| log217 = 4.0875 | log317 = 2.5789 | log417 = 2.0437 |
| log218 = 4.1699 | log318 = 2.6309 | log418 = 2.0850 |
| log219 = 4.2479 | log319 = 2.6801 | log419 = 2.1240 |
| log220 = 4.3219 | log320 = 2.7268 | log420 = 2.1610 |
| log221 = 4.3923 | log321 = 2.7712 | log421 = 2.1962 |
| log222 = 4.4594 | log322 = 2.8136 | log422 = 2.2297 |
| log223 = 4.5236 | log323 = 2.8540 | log423 = 2.2618 |
| log224 = 4.5850 | log324 = 2.8928 | log424 = 2.2925 |
| log225 = 4.6439 | log325 = 2.9299 | log425 = 2.3219 |
| log226 = 4.7004 | log326 = 2.9656 | log426 = 2.3502 |
| log227 = 4.7549 | log327 = 3.0000 | log427 = 2.3774 |
| log228 = 4.8074 | log328 = 3.0331 | log428 = 2.4037 |
| log229 = 4.8580 | log329 = 3.0650 | log429 = 2.4290 |
| log230 = 4.9069 | log330 = 3.0959 | log430 = 2.4534 |
| log231 = 4.9542 | log331 = 3.1257 | log431 = 2.4771 |
| log232 = 5.0000 | log332 = 3.1546 | log432 = 2.5000 |
| log233 = 5.0444 | log333 = 3.1827 | log433 = 2.5222 |
| log234 = 5.0875 | log334 = 3.2098 | log434 = 2.5437 |
| log235 = 5.1293 | log335 = 3.2362 | log435 = 2.5646 |
| log236 = 5.1699 | log336 = 3.2619 | log436 = 2.5850 |
| log237 = 5.2095 | log337 = 3.2868 | log437 = 2.6047 |
| log238 = 5.2479 | log338 = 3.3111 | log438 = 2.6240 |
| log239 = 5.2854 | log339 = 3.3347 | log439 = 2.6427 |
| log240 = 5.3219 | log340 = 3.3578 | log440 = 2.6610 |
| log241 = 5.3576 | log341 = 3.3802 | log441 = 2.6788 |
| log242 = 5.3923 | log342 = 3.4022 | log442 = 2.6962 |
| log243 = 5.4263 | log343 = 3.4236 | log443 = 2.7131 |
| log244 = 5.4594 | log344 = 3.4445 | log444 = 2.7297 |
| log245 = 5.4919 | log345 = 3.4650 | log445 = 2.7459 |
| log246 = 5.5236 | log346 = 3.4850 | log446 = 2.7618 |
| log247 = 5.5546 | log347 = 3.5046 | log447 = 2.7773 |
| log248 = 5.5850 | log348 = 3.5237 | log448 = 2.7925 |
| log249 = 5.6147 | log349 = 3.5425 | log449 = 2.8074 |
| log250 = 5.6439 | log350 = 3.5609 | log450 = 2.8219 |
| log251 = 5.6724 | log351 = 3.5789 | log451 = 2.8362 |
| log252 = 5.7004 | log352 = 3.5966 | log452 = 2.8502 |
| log253 = 5.7279 | log353 = 3.6139 | log453 = 2.8640 |
| log254 = 5.7549 | log354 = 3.6309 | log454 = 2.8774 |
| log255 = 5.7814 | log355 = 3.6476 | log455 = 2.8907 |
| log256 = 5.8074 | log356 = 3.6640 | log456 = 2.9037 |
| log257 = 5.8329 | log357 = 3.6801 | log457 = 2.9164 |
| log258 = 5.8580 | log358 = 3.6960 | log458 = 2.9290 |
| log259 = 5.8826 | log359 = 3.7115 | log459 = 2.9413 |
| log260 = 5.9069 | log360 = 3.7268 | log460 = 2.9534 |
| log261 = 5.9307 | log361 = 3.7419 | log461 = 2.9654 |
| log262 = 5.9542 | log362 = 3.7567 | log462 = 2.9771 |
| log263 = 5.9773 | log363 = 3.7712 | log463 = 2.9886 |
| log264 = 6.0000 | log364 = 3.7856 | log464 = 3.0000 |
| log265 = 6.0224 | log365 = 3.7997 | log465 = 3.0112 |
| log266 = 6.0444 | log366 = 3.8136 | log466 = 3.0222 |
| log267 = 6.0661 | log367 = 3.8273 | log467 = 3.0330 |
| log268 = 6.0875 | log368 = 3.8408 | log468 = 3.0437 |
| log269 = 6.1085 | log369 = 3.8540 | log469 = 3.0543 |
| log270 = 6.1293 | log370 = 3.8671 | log470 = 3.0646 |
| log271 = 6.1497 | log371 = 3.8801 | log471 = 3.0749 |
| log272 = 6.1699 | log372 = 3.8928 | log472 = 3.0850 |
| log273 = 6.1898 | log373 = 3.9053 | log473 = 3.0949 |
| log274 = 6.2095 | log374 = 3.9177 | log474 = 3.1047 |
| log275 = 6.2288 | log375 = 3.9299 | log475 = 3.1144 |
| log276 = 6.2479 | log376 = 3.9420 | log476 = 3.1240 |
| log277 = 6.2668 | log377 = 3.9539 | log477 = 3.1334 |
| log278 = 6.2854 | log378 = 3.9656 | log478 = 3.1427 |
| log279 = 6.3038 | log379 = 3.9772 | log479 = 3.1519 |
| log280 = 6.3219 | log380 = 3.9887 | log480 = 3.1610 |
| log281 = 6.3399 | log381 = 4.0000 | log481 = 3.1699 |
| log282 = 6.3576 | log382 = 4.0112 | log482 = 3.1788 |
| log283 = 6.3750 | log383 = 4.0222 | log483 = 3.1875 |
| log284 = 6.3923 | log384 = 4.0331 | log484 = 3.1962 |
| log285 = 6.4094 | log385 = 4.0439 | log485 = 3.2047 |
| log286 = 6.4263 | log386 = 4.0545 | log486 = 3.2131 |
| log287 = 6.4429 | log387 = 4.0650 | log487 = 3.2215 |
| log288 = 6.4594 | log388 = 4.0754 | log488 = 3.2297 |
| log289 = 6.4757 | log389 = 4.0857 | log489 = 3.2379 |
| log290 = 6.4919 | log390 = 4.0959 | log490 = 3.2459 |
| log291 = 6.5078 | log391 = 4.1060 | log491 = 3.2539 |
| log292 = 6.5236 | log392 = 4.1159 | log492 = 3.2618 |
| log293 = 6.5392 | log393 = 4.1257 | log493 = 3.2696 |
| log294 = 6.5546 | log394 = 4.1355 | log494 = 3.2773 |
| log295 = 6.5699 | log395 = 4.1451 | log495 = 3.2849 |
| log296 = 6.5850 | log396 = 4.1546 | log496 = 3.2925 |
| log297 = 6.5999 | log397 = 4.1641 | log497 = 3.3000 |
| log298 = 6.6147 | log398 = 4.1734 | log498 = 3.3074 |
| log299 = 6.6294 | log399 = 4.1827 | log499 = 3.3147 |
| log2100 = 6.6439 | log3100 = 4.1918 | log4100 = 3.3219 |
Таблица логарифмов в диапазоне log52 — log7100
| log52 = 0.4307 | log62 = 0.3869 | log72 = 0.3562 |
| log53 = 0.6826 | log63 = 0.6131 | log73 = 0.5646 |
| log54 = 0.8614 | log64 = 0.7737 | log74 = 0.7124 |
| log55 = 1.0000 | log65 = 0.8982 | log75 = 0.8271 |
| log56 = 1.1133 | log66 = 1.0000 | log76 = 0.9208 |
| log57 = 1.2091 | log67 = 1.0860 | log77 = 1.0000 |
| log58 = 1.2920 | log68 = 1.1606 | log78 = 1.0686 |
| log59 = 1.3652 | log69 = 1.2263 | log79 = 1.1292 |
| log510 = 1.4307 | log610 = 1.2851 | log710 = 1.1833 |
| log511 = 1.4899 | log611 = 1.3383 | log711 = 1.2323 |
| log512 = 1.5440 | log612 = 1.3869 | log712 = 1.2770 |
| log513 = 1.5937 | log613 = 1.4315 | log713 = 1.3181 |
| log514 = 1.6397 | log614 = 1.4729 | log714 = 1.3562 |
| log515 = 1.6826 | log615 = 1.5114 | log715 = 1.3917 |
| log516 = 1.7227 | log616 = 1.5474 | log716 = 1.4248 |
| log517 = 1.7604 | log617 = 1.5812 | log717 = 1.4560 |
| log518 = 1.7959 | log618 = 1.6131 | log718 = 1.4854 |
| log519 = 1.8295 | log619 = 1.6433 | log719 = 1.5131 |
| log520 = 1.8614 | log620 = 1.6720 | log720 = 1.5395 |
| log521 = 1.8917 | log621 = 1.6992 | log721 = 1.5646 |
| log522 = 1.9206 | log622 = 1.7251 | log722 = 1.5885 |
| log523 = 1.9482 | log623 = 1.7500 | log723 = 1.6113 |
| log524 = 1.9746 | log624 = 1.7737 | log724 = 1.6332 |
| log525 = 2.0000 | log625 = 1.7965 | log725 = 1.6542 |
| log526 = 2.0244 | log626 = 1.8184 | log726 = 1.6743 |
| log527 = 2.0478 | log627 = 1.8394 | log727 = 1.6937 |
| log528 = 2.0704 | log628 = 1.8597 | log728 = 1.7124 |
| log529 = 2.0922 | log629 = 1.8793 | log729 = 1.7304 |
| log530 = 2.1133 | log630 = 1.8982 | log730 = 1.7479 |
| log531 = 2.1337 | log631 = 1.9165 | log731 = 1.7647 |
| log532 = 2.1534 | log632 = 1.9343 | log732 = 1.7810 |
| log533 = 2.1725 | log633 = 1.9514 | log733 = 1.7968 |
| log534 = 2.1911 | log634 = 1.9681 | log734 = 1.8122 |
| log535 = 2.2091 | log635 = 1.9843 | log735 = 1.8271 |
| log536 = 2.2266 | log636 = 2.0000 | log736 = 1.8416 |
| log537 = 2.2436 | log637 = 2.0153 | log737 = 1.8556 |
| log538 = 2.2602 | log638 = 2.0302 | log738 = 1.8693 |
| log539 = 2.2763 | log639 = 2.0447 | log739 = 1.8827 |
| log540 = 2.2920 | log640 = 2.0588 | log740 = 1.8957 |
| log541 = 2.3074 | log641 = 2.0726 | log741 = 1.9084 |
| log542 = 2.3223 | log642 = 2.0860 | log742 = 1.9208 |
| log543 = 2.3370 | log643 = 2.0992 | log743 = 1.9329 |
| log544 = 2.3512 | log644 = 2.1120 | log744 = 1.9447 |
| log545 = 2.3652 | log645 = 2.1245 | log745 = 1.9562 |
| log546 = 2.3789 | log646 = 2.1368 | log746 = 1.9675 |
| log547 = 2.3922 | log647 = 2.1488 | log747 = 1.9786 |
| log548 = 2.4053 | log648 = 2.1606 | log748 = 1.9894 |
| log549 = 2.4181 | log649 = 2.1721 | log749 = 2.0000 |
| log550 = 2.4307 | log650 = 2.1833 | log750 = 2.0104 |
| log551 = 2.4430 | log651 = 2.1944 | log751 = 2.0206 |
| log552 = 2.4550 | log652 = 2.2052 | log752 = 2.0305 |
| log553 = 2.4669 | log653 = 2.2159 | log753 = 2.0403 |
| log554 = 2.4785 | log654 = 2.2263 | log754 = 2.0499 |
| log555 = 2.4899 | log655 = 2.2365 | log755 = 2.0594 |
| log556 = 2.5011 | log656 = 2.2466 | log756 = 2.0686 |
| log557 = 2.5121 | log657 = 2.2565 | log757 = 2.0777 |
| log558 = 2.5229 | log658 = 2.2662 | log758 = 2.0867 |
| log559 = 2.5335 | log659 = 2.2757 | log759 = 2.0954 |
| log560 = 2.5440 | log660 = 2.2851 | log760 = 2.1041 |
| log561 = 2.5542 | log661 = 2.2943 | log761 = 2.1126 |
| log562 = 2.5643 | log662 = 2.3034 | log762 = 2.1209 |
| log563 = 2.5743 | log663 = 2.3123 | log763 = 2.1292 |
| log564 = 2.5841 | log664 = 2.3211 | log764 = 2.1372 |
| log565 = 2.5937 | log665 = 2.3298 | log765 = 2.1452 |
| log566 = 2.6032 | log666 = 2.3383 | log766 = 2.1531 |
| log567 = 2.6125 | log667 = 2.3467 | log767 = 2.1608 |
| log568 = 2.6217 | log668 = 2.3550 | log768 = 2.1684 |
| log569 = 2.6308 | log669 = 2.3631 | log769 = 2.1759 |
| log570 = 2.6397 | log670 = 2.3711 | log770 = 2.1833 |
| log571 = 2.6486 | log671 = 2.3790 | log771 = 2.1906 |
| log572 = 2.6572 | log672 = 2.3869 | log772 = 2.1978 |
| log573 = 2.6658 | log673 = 2.3946 | log773 = 2.2049 |
| log574 = 2.6743 | log674 = 2.4021 | log774 = 2.2119 |
| log575 = 2.6826 | log675 = 2.4096 | log775 = 2.2187 |
| log576 = 2.6908 | log676 = 2.4170 | log776 = 2.2256 |
| log577 = 2.6990 | log677 = 2.4243 | log777 = 2.2323 |
| log578 = 2.7070 | log678 = 2.4315 | log778 = 2.2389 |
| log579 = 2.7149 | log679 = 2.4386 | log779 = 2.2455 |
| log580 = 2.7227 | log680 = 2.4457 | log780 = 2.2519 |
| log581 = 2.7304 | log681 = 2.4526 | log781 = 2.2583 |
| log582 = 2.7380 | log682 = 2.4594 | log782 = 2.2646 |
| log583 = 2.7456 | log683 = 2.4662 | log783 = 2.2708 |
| log584 = 2.7530 | log684 = 2.4729 | log784 = 2.2770 |
| log585 = 2.7604 | log685 = 2.4795 | log785 = 2.2831 |
| log586 = 2.7676 | log686 = 2.4860 | log786 = 2.2891 |
| log587 = 2.7748 | log687 = 2.4925 | log787 = 2.2950 |
| log588 = 2.7819 | log688 = 2.4988 | log788 = 2.3009 |
| log589 = 2.7889 | log689 = 2.5052 | log789 = 2.3067 |
| log590 = 2.7959 | log690 = 2.5114 | log790 = 2.3124 |
| log591 = 2.8028 | log691 = 2.5176 | log791 = 2.3181 |
| log592 = 2.8095 | log692 = 2.5237 | log792 = 2.3237 |
| log593 = 2.8163 | log693 = 2.5297 | log793 = 2.3293 |
| log594 = 2.8229 | log694 = 2.5357 | log794 = 2.3348 |
| log595 = 2.8295 | log695 = 2.5416 | log795 = 2.3402 |
| log596 = 2.8360 | log696 = 2.5474 | log796 = 2.3456 |
| log597 = 2.8424 | log697 = 2.5532 | log797 = 2.3509 |
| log598 = 2.8488 | log698 = 2.5589 | log798 = 2.3562 |
| log599 = 2.8551 | log699 = 2.5646 | log799 = 2.3614 |
| log5100 = 2.8614 | log6100 = 2.5702 | log7100 = 2.3666 |
Таблица логарифмов в диапазоне log82 — log10100
| log82 = 0.3333 | log92 = 0.3155 | log102 = 0.3010 |
| log83 = 0.5283 | log93 = 0.5000 | log103 = 0.4771 |
| log84 = 0.6667 | log94 = 0.6309 | log104 = 0.6021 |
| log85 = 0.7740 | log95 = 0.7325 | log105 = 0.6990 |
| log86 = 0.8617 | log96 = 0.8155 | log106 = 0.7782 |
| log87 = 0.9358 | log97 = 0.8856 | log107 = 0.8451 |
| log88 = 1.0000 | log98 = 0.9464 | log108 = 0.9031 |
| log89 = 1.0566 | log99 = 1.0000 | log109 = 0.9542 |
| log810 = 1.1073 | log910 = 1.0480 | log1010 = 1.0000 |
| log811 = 1.1531 | log911 = 1.0913 | log1011 = 1.0414 |
| log812 = 1.1950 | log912 = 1.1309 | log1012 = 1.0792 |
| log813 = 1.2335 | log913 = 1.1674 | log1013 = 1.1139 |
| log814 = 1.2691 | log914 = 1.2011 | log1014 = 1.1461 |
| log815 = 1.3023 | log915 = 1.2325 | log1015 = 1.1761 |
| log816 = 1.3333 | log916 = 1.2619 | log1016 = 1.2041 |
| log817 = 1.3625 | log917 = 1.2895 | log1017 = 1.2304 |
| log818 = 1.3900 | log918 = 1.3155 | log1018 = 1.2553 |
| log819 = 1.4160 | log919 = 1.3401 | log1019 = 1.2788 |
| log820 = 1.4406 | log920 = 1.3634 | log1020 = 1.3010 |
| log821 = 1.4641 | log921 = 1.3856 | log1021 = 1.3222 |
| log822 = 1.4865 | log922 = 1.4068 | log1022 = 1.3424 |
| log823 = 1.5079 | log923 = 1.4270 | log1023 = 1.3617 |
| log824 = 1.5283 | log924 = 1.4464 | log1024 = 1.3802 |
| log825 = 1.5480 | log925 = 1.4650 | log1025 = 1.3979 |
| log826 = 1.5668 | log926 = 1.4828 | log1026 = 1.4150 |
| log827 = 1.5850 | log927 = 1.5000 | log1027 = 1.4314 |
| log828 = 1.6025 | log928 = 1.5166 | log1028 = 1.4472 |
| log829 = 1.6193 | log929 = 1.5325 | log1029 = 1.4624 |
| log830 = 1.6356 | log930 = 1.5480 | log1030 = 1.4771 |
| log831 = 1.6514 | log931 = 1.5629 | log1031 = 1.4914 |
| log832 = 1.6667 | log932 = 1.5773 | log1032 = 1.5051 |
| log833 = 1.6815 | log933 = 1.5913 | log1033 = 1.5185 |
| log834 = 1.6958 | log934 = 1.6049 | log1034 = 1.5315 |
| log835 = 1.7098 | log935 = 1.6181 | log1035 = 1.5441 |
| log836 = 1.7233 | log936 = 1.6309 | log1036 = 1.5563 |
| log837 = 1.7365 | log937 = 1.6434 | log1037 = 1.5682 |
| log838 = 1.7493 | log938 = 1.6555 | log1038 = 1.5798 |
| log839 = 1.7618 | log939 = 1.6674 | log1039 = 1.5911 |
| log840 = 1.7740 | log940 = 1.6789 | log1040 = 1.6021 |
| log841 = 1.7859 | log941 = 1.6901 | log1041 = 1.6128 |
| log842 = 1.7974 | log942 = 1.7011 | log1042 = 1.6232 |
| log843 = 1.8088 | log943 = 1.7118 | log1043 = 1.6335 |
| log844 = 1.8198 | log944 = 1.7223 | log1044 = 1.6435 |
| log845 = 1.8306 | log945 = 1.7325 | log1045 = 1.6532 |
| log846 = 1.8412 | log946 = 1.7425 | log1046 = 1.6628 |
| log847 = 1.8515 | log947 = 1.7523 | log1047 = 1.6721 |
| log848 = 1.8617 | log948 = 1.7619 | log1048 = 1.6812 |
| log849 = 1.8716 | log949 = 1.7712 | log1049 = 1.6902 |
| log850 = 1.8813 | log950 = 1.7804 | log1050 = 1.6990 |
| log851 = 1.8908 | log951 = 1.7895 | log1051 = 1.7076 |
| log852 = 1.9001 | log952 = 1.7983 | log1052 = 1.7160 |
| log853 = 1.9093 | log953 = 1.8070 | log1053 = 1.7243 |
| log854 = 1.9183 | log954 = 1.8155 | log1054 = 1.7324 |
| log855 = 1.9271 | log955 = 1.8238 | log1055 = 1.7404 |
| log856 = 1.9358 | log956 = 1.8320 | log1056 = 1.7482 |
| log857 = 1.9443 | log957 = 1.8401 | log1057 = 1.7559 |
| log858 = 1.9527 | log958 = 1.8480 | log1058 = 1.7634 |
| log859 = 1.9609 | log959 = 1.8558 | log1059 = 1.7709 |
| log860 = 1.9690 | log960 = 1.8634 | log1060 = 1.7782 |
| log861 = 1.9769 | log961 = 1.8709 | log1061 = 1.7853 |
| log862 = 1.9847 | log962 = 1.8783 | log1062 = 1.7924 |
| log863 = 1.9924 | log963 = 1.8856 | log1063 = 1.7993 |
| log864 = 2.0000 | log964 = 1.8928 | log1064 = 1.8062 |
| log865 = 2.0075 | log965 = 1.8998 | log1065 = 1.8129 |
| log866 = 2.0148 | log966 = 1.9068 | log1066 = 1.8195 |
| log867 = 2.0220 | log967 = 1.9136 | log1067 = 1.8261 |
| log868 = 2.0292 | log968 = 1.9204 | log1068 = 1.8325 |
| log869 = 2.0362 | log969 = 1.9270 | log1069 = 1.8388 |
| log870 = 2.0431 | log970 = 1.9336 | log1070 = 1.8451 |
| log871 = 2.0499 | log971 = 1.9400 | log1071 = 1.8513 |
| log872 = 2.0566 | log972 = 1.9464 | log1072 = 1.8573 |
| log873 = 2.0633 | log973 = 1.9527 | log1073 = 1.8633 |
| log874 = 2.0698 | log974 = 1.9589 | log1074 = 1.8692 |
| log875 = 2.0763 | log975 = 1.9650 | log1075 = 1.8751 |
| log876 = 2.0826 | log976 = 1.9710 | log1076 = 1.8808 |
| log877 = 2.0889 | log977 = 1.9770 | log1077 = 1.8865 |
| log878 = 2.0951 | log978 = 1.9828 | log1078 = 1.8921 |
| log879 = 2.1013 | log979 = 1.9886 | log1079 = 1.8976 |
| log880 = 2.1073 | log980 = 1.9943 | log1080 = 1.9031 |
| log881 = 2.1133 | log981 = 2.0000 | log1081 = 1.9085 |
| log882 = 2.1192 | log982 = 2.0056 | log1082 = 1.9138 |
| log883 = 2.1250 | log983 = 2.0111 | log1083 = 1.9191 |
| log884 = 2.1308 | log984 = 2.0166 | log1084 = 1.9243 |
| log885 = 2.1365 | log985 = 2.0219 | log1085 = 1.9294 |
| log886 = 2.1421 | log986 = 2.0273 | log1086 = 1.9345 |
| log887 = 2.1476 | log987 = 2.0325 | log1087 = 1.9395 |
| log888 = 2.1531 | log988 = 2.0377 | log1088 = 1.9445 |
| log889 = 2.1586 | log989 = 2.0429 | log1089 = 1.9494 |
| log890 = 2.1640 | log990 = 2.0480 | log1090 = 1.9542 |
| log891 = 2.1693 | log991 = 2.0530 | log1091 = 1.9590 |
| log892 = 2.1745 | log992 = 2.0580 | log1092 = 1.9638 |
| log893 = 2.1797 | log993 = 2.0629 | log1093 = 1.9685 |
| log894 = 2.1849 | log994 = 2.0677 | log1094 = 1.9731 |
| log895 = 2.1900 | log995 = 2.0726 | log1095 = 1.9777 |
| log896 = 2.1950 | log996 = 2.0773 | log1096 = 1.9823 |
| log897 = 2.2000 | log997 = 2.0820 | log1097 = 1.9868 |
| log898 = 2.2049 | log998 = 2.0867 | log1098 = 1.9912 |
| log899 = 2.2098 | log999 = 2.0913 | log1099 = 1.9956 |
| log8100 = 2.2146 | log9100 = 2.0959 | log10100 = 2.0000 |
Что такое таблица логарифмов и зачем она нужна?
Логарифм числа — это показатель степени, в которую нужно возвести фиксированное основание, чтобы получить это число.
Таблица логарифмов может использоваться при расчетах, когда необходимо знать значения логарифмов некоторых величин, но их нельзя вычислить точно. Для этого было составлено ряд таблиц для упрощения вычислений. Самая известная в России — таблицы Брадиса, которые содержат значения как десятичных, так и натуральных логарифмов.
Таблица значений некоторых логарифмов
- log₂ 2 = 1,0000 (так как 2¹ = 2)
- log₂ 4 = 2,0000 (2² = 4)
- log₂ 8 = 3,0000
- log₂ 16 = 4,0000
- log₃ 9 = 2,0000 (3² = 9)
- log₃ 27 = 3,0000
- log₅ 25 = 2,0000
- log₇ 49 = 2,0000
- log₁₀ 10 = 1,0000
- log₁₀ 100 = 2,0000
- log₁₁ 100 ≈ 1,9165 (так как 11¹·⁹¹⁶⁵ ≈ 100)
- ln e = 1,0000 (натуральный логарифм)
Важно: Для чисел, не являющихся точными степенями, логарифмы иррациональны. В таблицах они даны с определенной точностью (обычно 4-5 знаков после запятой).
Онлайн калькуляторы для вычисления логарифмов
- Калькулятор логарифмов онлайн (для всех типов логарифмов)
- Калькулятор десятичного логарифма
- Калькулятор натурального логарифма
Также по теме:
Современное значение логарифмических таблиц
Несмотря на то, что компьютеры и смартфоны полностью автоматизировали процесс вычислений, таблица логарифмов остается важным учебным пособием. Работа с ней:
- Позволяет понять структуру логарифмической функции.
- Развивает навыки приближенных вычислений и интерполяции.
- Готовит к восприятию таких тем, как логарифмические шкалы (децибелы, шкала Рихтера, звездные величины).
Используйте приведенные примеры и таблицы для самостоятельных тренировок. Это поможет вам не только на экзаменах, но и в понимании многих природных процессов, описываемых логарифмами.